8. Solving Quadratic Equations by Completing the Square Step 3: Factor the perfect square trinomial on the left side of the equation. Simplify the right side of the equation. We can then use the previous completed square to solve the quadratic equation.
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12. Solving Quadratic Equations by Completing the Square Step 2: Find the term that completes the square on the left side of the equation. Add that term to both sides. First, the quadratic coefficient must be equal to 1 before you complete the square, so you must divide all terms by the quadratic coefficient first. Next, take half of b, square it then add to both sides.
13. Solving Quadratic Equations by Completing the Square Step 3: Factor the perfect square trinomial on the left side of the equation. Simplify the right side of the equation.
14. Solving Quadratic Equations by Completing the Square Step 4: Take the square root of each side Why is there an i? i represents a complex number. This allows us to take the square root of a negative number. If you’re taking the square root of a negative number, just take the square root then add an i.
15. Solving Quadratic Equations by Completing the Square Try the following examples. Do your work on your paper and then check your answers.
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